Method and apparatus for anti-aliasing using floating point subpixel color values and compression of same

ABSTRACT

The present invention provides a method and apparatus for data compression that includes representing each sub-pixel of each pixel with a pointer corresponding to an attribute of the sub-pixel, the attribute being a floating point binary number. An overall attribute of each pixel is then determined. The determining of the overall attribute of each tile may include any one of assigning the attribute of the sub-pixels to the overall attribute of the pixel when the sub-pixels are represented by an identical pointer, and resolving the overall attribute of the tile by the attributes of the sub-pixels when the sub-pixels are represented by non-identical pointers of the pixel.

RELATED APPLICATIONS

The present application is a continuation-in-part of U.S. patent application Ser. No. 10/672,707, filed Sep. 26, 2003, which claims priority to U.S. Provisional Patent Application Ser. No. 60/447,206, filed Feb. 13, 2003.

FIELD OF THE INVENTION

This invention relates to the field of image data compression, and in particular color value compression in multi-sampled anti-aliasing applications.

BACKGROUND OF THE INVENTION

Three dimensional graphics processing applications require the storage and processing of large amounts of data. In particular, color information takes up a large amount of memory. In addition, the time it takes to transfer color data from memory to a graphics processor can negatively affect the ability to process graphics data. There is a need to reduce the amount of memory needed to store graphics data and to improve the ability to quickly transfer graphics data from memory to processor. This problem can be understood by reviewing the way that graphics systems process data.

Computer systems are often used to generate and display graphics on a display. Display images are made up of thousands of tiny dots, where each dot is one of thousands or millions of colors. These dots are known as picture elements, or “pixels”. Each pixel has a color, with the color of each pixel being represented by a number value stored in the computer system. As known in the art, the pixels may be organized in a two dimensional array in screen space indexed by an X an Y coordinate system. The two dimensional array is organized in tiles (e.g., 4×4 pixels) which may include sub-tiles (e.g., 2×2 pixels).

A three dimensional display image, although displayed using a two dimensional array of pixels, may in fact be created by rendering a plurality of graphical objects. Examples of graphical objects include points, lines, polygons, and three dimensional solid objects. Points, lines, and polygons represent rendering “primitives” which are the basis for most rendering instructions. More complex structures, such as three dimensional objects, are formed from a combination or mesh of such primitives. To display a particular scene, the visible primitives associated with the scene are drawn individually by determining those pixels that fall within the edges of the primitive, and obtaining the attributes of the primitive that correspond to each of those pixels. The obtained attributes are used to determine the displayed color values of applicable pixels.

Sometimes, a three dimensional display image is formed from overlapping primitives or surfaces. A blending function based on an opacity value associated with each pixel of each primitive is used to blend the colors of overlapping surfaces or layers when the top surface is not completely opaque. The final displayed color of an individual pixel may thus be a blend of colors from multiple surfaces or layers.

Aliasing

A phenomenon termed, “aliasing” frequently occurs at the border between two overlapping primitives or surfaces. In aliasing, straight lines are displayed such that a stair step effect develops. Pixels are not mathematical points which are either on or off a line. Instead, pixels have a finite width, and, typically, a pixel is considered on a line if the line passes through the pixel's area.

FIG. 1 illustrates an example of aliasing. Edge 1 of a polygon (100) passes through pixels 5, (125), 6 (130), 7 (135), 8 (140), and 9 (145). Thus, polygon 100 covers pixels 5, 6, 7, 8, and 9. These pixels are shaded and pixels 1 (105), 2 (110), 3 (115), and 4 (120) are not shaded. The resulting display looks like a jagged stair step rather than a line.

Anti-Aliasing

One anti-aliasing technique adjusts pixel colors where aliasing occurs in an attempt to smooth the display. For example, a pixel's intensity may depend on the length of the line segment that falls in the pixel's area.

FIG. 2A illustrates an example of anti-aliasing. Edge 1 (200) of a polygon passes through pixels 5, (225), 6 (230), 7 (235), 8 (240), and 9 (245). However, the edge passes through a small portion of pixel 5, so the intensity of the pixel is low. The intensity of pixel 8 is higher because more of the edge passes through pixel 8. Pixel 9 is completely within the polygon, thus it has the darkest shade. Likewise, the intensities of pixels 6 and 7 are also higher. Pixels 1 (205), 2 (210), 3 (215), and 4 (220) are not shaded because the edge does not pass through them. These pixels lie outside of polygon 200. With the intensity adjusted per the amount of pixel lying within the polygon, the resulting edge on the display is smoother than the aliased edge.

Multi-sampling is another anti-aliasing technique for determining the color of a pixel. Each pixel is divided into sub-pixels, or samples. A color is determined for each sample, and the sample colors are combined to yield a color for the entire pixel. For example, suppose that each pixel in FIG. 2A is further divided into four samples. Then each sample would cover ¼ of the area of the original pixel, as shown in FIG. 2B. Thus pixel 6 (220) would be of a darker color because two of its samples are covered by the intersecting edge. In contrast, pixel 5 (225) would be of a light color because only one of its samples is covered by the intersecting edge. Thus in simplified terms, pixel 6 (230) may have 50% color contribution from the dark color from polygon 200 and 50% color contribution from the clear background. Thus its final color would be of a 50% shading. Pixel 5 (225) may have 25% color contribution from the dark color from polygon 200 and 75% color contribution from the clear background. Thus its final color would be of a 25% shading. It must be noted this is an illustration only and in practice, the number of samples do vary and the granularity depicted in the figures are not to proportion to the actual thickness of the lines and pixels. Also, it can be seen that the more samples a system employs, the better the anti-aliasing can become. However, the demand on system resources increases in proportion to the number of samples.

Rendering

In some cases, graphical data is rendered by executing instructions from an application that is drawing data to a display. During image rendering, three dimensional data is processed into a two dimensional image suitable for display. The three dimensional image data represents attributes such as color, opacity, texture, depth, and perspective information. The draw commands from a program drawing to the display may include, for example, X and Y coordinates for the vertices of the primitive, as well as some attribute parameters for the primitive, and a drawing command. Examples of attribute parameters for primitives include color and depth, or “Z” data. Three-dimensional data includes not only horizontal and vertical components on an X and Y axis, but also include a depth component along an axis labeled Z. The execution of drawing commands to generate a display image is known as graphics processing.

Three-dimensional data processing is very data intensive. The color data for a pixel is typically 24 or 32 bits. For a megapixel display, large amounts of storage are required just to store the data to be displayed. Compression schemes are needed to reduce the amount of data transferred between the memory and the processor to improve performance.

Additionally, color data that is typically stored in 24 or 32 bits is in fixed point binary format. Accordingly, to provide a large range of colors, color data must be stored in larger binary formats, such as 64 bit format. However, larger binary format will require a large amount of memory space and can affect the rate by which the processor and memory transfer data between each other. Accordingly, a format for storing the attribute data of pixels, such as color data, is needed to provide a large range of colors without requiring large memory space.

SUMMARY OF THE INVENTION

The present invention provides a method and apparatus for multisample antialiasing and compression of sub-pixel floating point color data. Floating point color values are determined and stored for each sub-pixel. The final attribute of the pixel is generated by resolving the compressed floating point sub-pixel colors into a single floating point color value. The method and apparatus provides a method and apparatus for data compression that includes representing each sub-pixel of each tile with a pointer corresponding to an attribute of the sub-pixel, the attribute being a floating point binary number. An overall attribute of each tile is then determined. The determining of the overall attribute of each tile may include any one of assigning the attribute of the sub-pixels to the overall attribute of the pixel when the sub-pixels are represented by an identical pointer, and resolving the overall attribute of the tile by the attributes of the sub-pixels when the sub-pixels are represented by non-identical pointers of the tile.

In another embodiment of the present invention a scheme for compressing the color components of image data is provided. One embodiment of the present invention provides for a compression scheme to reduce the amount of data that needs to be stored in memory, and in particular cache memory. The compressed data format can improve the transfer rate between cache memory and the processor and increase the amount of data that can be processed by the graphics processor.

In multi-sampled anti-aliasing applications, pixels are divided into sub-pixels, or samples. Each sample has an associated color. As the number of samples per pixel grows, the amount of data that needs to be transferred between the memory and the processor increases dramatically. In one embodiment, adjacent pixels are grouped into rectangular tiles. The color values of the samples within each are then stored in a compressed format for that tile with an appropriate encoded pointer. In one embodiment, duplicate colors are stored only once. The color entries within the compressed format are accessed by decoding the pointer.

The compression schemes of the present invention take advantage of that fact that in multi-sampled anti-aliasing applications, samples, not pixels, tend to have the same color values. Other prior art types of color compression are geared toward taking advantage of pixel to pixel correlation. In contrast, in multi-sampled anti-aliasing applications, the dominant pattern is a stubble pattern where adjacent pixels are usually not of the same color. Instead, the present invention takes advantage of the sample to sample correlation that exists within the pixels.

In one embodiment, color information associated with each sample is stored in a compressed format with a pointer. The pointer has a single bit associated with each sample in the tile, with the single bit pointing to the color entry stored in the compressed format. In one embodiment, for a pixel with four samples each, this compressed format reduces the amount of storage required from four words per pixel to two words per pixel. In one embodiment, a short-hand encoding is used to further reduce the size of the pointer. In another embodiment, color information associated with each sample is stored in a compressed format wherein only one word per pixel is needed.

The present invention provides a method of organizing adjacent pixels into tiles. The method selects an appropriate compression scheme for each tile based on criteria including duplicate colors found within the each tile and which are the result of geometric primitives (triangles) that are drawn on top of the area defined by each tile. It is a generic method that can select an appropriate compression for tiles of various sizes with various numbers of triangle primitives in various orientations.

Another embodiment of the present invention comprises a memory and graphics processor configuration that incorporates the tile compression schemes. The configuration defines the sizes of the tiles in main memory and cache memory. In one embodiment, 4×4 tiles are stored in the main memory. As needed, these tiles are called up from main memory, divided into 2×2 tiles and compressed according to the compression schemes of the present invention. The resultant 2×2 tiles are stored in cache memory. Then the 2×2 tiles are called into graphics processor as needed for processing. In one embodiment, graphics processor comprises a Tile Format Table (TFT) to keep track of the compression format of the incoming files. In another embodiment, two TFTs are used, with one keeping track of the tiles stored in main memory and another keeping track of the tiles stored in cache memory. With the help of TFT, the graphics processor is able to process incoming tiles in their compressed formats, without the need of decompression. This speeds up overall system performance. In one embodiment, the TFT is also used to enable a “Fast Clear” operation where the graphics processor can quickly clear the cache memory. In another embodiment, the process performs resolve operations on sample colors. In these operations, the sample colors are combined to get the final color of the pixel. The compression schemes of the present invention also enable the processor to optimize the procedure of the resolve operation.

BRIEF DESCRIPTION OF THE DRAWINGS

The features of the present invention which are believed to be novel are set forth with particularity in the appended claims. The invention may best be understood by reference to the following description taken in conjunction with the accompanying drawings, and the several figures of which like reference numerals identify like elements.

FIG. 1 is a diagram of an example of aliasing.

FIG. 2A is a diagram of an example of anti-aliasing.

FIG. 2B is a diagram of an example of anti-aliasing with multi-sampling.

FIG. 3 shows an example tile of pixels with samples covered by two triangle primitives.

FIG. 4 is an example pointer format used in an embodiment of compression according to the present invention.

FIG. 5 shows an example tile of pixels with samples covered by one triangle primitive.

FIG. 6A is a flow diagram representing the process of compressing tiles in accordance with one embodiment of the present invention.

FIG. 6B a flow diagram representing the process of partial compression in accordance with one embodiment of the present invention.

FIG. 7 shows an example tile of pixels with multiple triangle primitives covering its area.

FIG. 8A is a diagram showing the relationship between the memory, the cache, and the graphics process in accordance with one embodiment of the present invention.

FIG. 8B is another diagram showing the relationship between the memory, the cache, and the graphics process in accordance with one embodiment of the present invention.

FIG. 9 is a flow chart showing the fast clear operation in accordance with one embodiment of the present invention.

FIG. 10 is a flow chart showing the operation of tile retrieval, tile compression, and tile processing in accordance with one embodiment of the present invention.

FIG. 11 is a block diagram of a general purpose computer.

FIG. 12 is a block diagram illustrating another embodiment of the present invention.

FIG. 13 is a format by which color information is stored in memory in accordance with one embodiment of the present invention.

FIG. 14 is the format of color information of FIG. 13 showing a different color value.

FIG. 15 is schematic diagram of an apparatus for compression of multi-sampled anti-aliasing color data in accordance with the present invention.

DETAILED DESCRIPTION OF THE INVENTION

A method and apparatus for anti-aliasing and compression of floating point sub-pixel color image data is described. In the following description, numerous specific details are set forth in order to provide a more detailed description of the invention. It will be apparent, however, to one skilled in the art, that the present invention may be practiced without these specific details. In other instances, well known details have not been provided so as to not unnecessarily obscure the invention.

The present invention provides for antialiasing of floating point color pixels by storing sub-pixel floating point color values and providing a final floating point attribute of the pixel by resolving the samples. In the following descriptions the sub-pixel values are considered to be in a compressed format. This is a specific detail which may not be utilized in the embodiment of the antialiasing technique described above, such averaging floating point subpixel color values to determine a floating point pixel color. However any suitable technique may be used.

The present invention provides a method and apparatus for anti-aliasing using sub-pixel floating point color values that includes storing floating point binary numbers that represent sub-pixels color values for a plurality of pixels and using at least some of the stored floating point binary number sub-pixel color values to determine an anti-aliased color value for a pixel. A method and apparatus also provides for data compression that includes representing each sub-pixel of each tile with a pointer corresponding to an attribute of the sub-pixel, the attribute being a floating point binary number. An overall attribute of each tile is then determined. The determining of the overall attribute of each tile may include any one of assigning the attribute of the sub-pixels to the overall attribute of the pixel when the sub-pixels are represented by an identical pointer, and resolving the overall attribute of the tile by the attributes of the sub-pixels when the sub-pixels are represented by non-identical pointers of the tile.

The present invention further provides for compression schemes to reduce the amount of image data that needs to be stored in memory. The compressed data format can improve the transfer rate between elements such as cache memory and the graphics processor and increase the amount of data processed at the processor. Also, the compressed data needs no decompression prior to being processed by the graphics processor. In one embodiment, the compression scheme is lossless so that no image information is lost. Embodiments of the present invention group pixels together into tiles for compression and processing.

The present invention provides a method of data compression that includes representing each sub-pixel of each tile with a pointer corresponding to an attribute of the sub-pixel, the attribute being a floating point binary number and determining an overall attribute of each tile. The overall attribute of each tile is determined by any one of assigning the attribute of the sub-pixels to the overall attribute of the pixel when the sub-pixels are represented by an identical pointer, and resolving the overall attribute of the tile by the attributes of the sub-pixels when the sub-pixels are represented by non-identical pointers of the tile.

Multi-Sampled Anti-Aliasing and Tiles

One embodiment of the present invention is a compression scheme that operates on tiles (groups of pixels) with the memory. To illustrate, an example tile 300 is shown in FIG. 3. Tile 300 is two pixels tall by two pixels wide in size. Within tile 300 are four pixels: A, B, C, and D. Furthermore, each pixel has four samples, numbered S0, S1, S2, and S3 as shown in the figure. Each of the samples that are stored can be floating point sub-pixel color values. The final color of the pixel rendered will be a combination of the color value of the four samples. In this example, two triangles 301 and 302 have been drawn on top of the tile. These triangles are primitive geometric shapes that form more complex shapes on the display. Each pixel can have samples residing wholly within one triangle, or have some samples residing in multiple triangles. For example, all of the samples of pixel A reside in triangle 301. In contrast, pixel C has samples S0, S1, S2 in triangle 301 and sample S3 in triangle 302.

The compression schemes of the present invention take advantage of that fact that in multi-sampled anti-aliasing applications, samples, not pixels, tend to have the same color values. The graphic rasterizer creates only one color value per pixel. However, as geometric shapes are drawn, the edges of triangle primitives cut through pixels and create multiple color values per pixel in multi-sampled anti-aliasing applications. It is observed that these samples within the pixels tend to be of the same color value. Thus they lend themselves well to the pointer lookup table compression schemes of the present invention. Other prior art types of color compression are geared toward taking advantage of pixel to pixel correlation. In contrast, in multi-sampled anti-aliasing applications, the dominant pattern is a stubble pattern where adjacent pixels are usually not of the same color. The repetition of color occurs among samples within individual pixels. Therefore, the present invention takes advantage of the sample to sample correlation that exists within the pixels.

In one embodiment, the color value of each sample receives one of two designations. The first designation is called an original color. An original color refers to the color of a sample lying within the “first” triangle that covers a pixel. The cardinal order assigned to a triangle is arbitrary. The second designation is called a replacement color. A replacement color refers to the color of a sample lying within triangles other than the “first” triangle. Replacement colors are needed only when multiple triangles cover a pixel. For example, in pixel C, samples S0, S1, and S2 are of the original color since they lie within triangle 301, the “first triangle” of pixel C. Sample S3 is of the replacement color since it is within another triangle covering pixel C, triangle 302.

To encode the example setup with two triangles as shown in FIG. 3, memory space for seven colors is needed. The number seven is derived by adding the space needed for the four original colors (one for each of the four pixels) and the three replacement colors that may be needed. The number three is derived from the fact that the line separating the two triangles can at most cut through three pixels. Hence one pixel will always be wholly within a single triangle and need no replacement color. Up to three other pixels will have portions of the two triangles. Hence each pixel will need both an original color and a replacement color.

Several levels of compression can be achieved by using this setup. They are uncompressed, partially compressed and fully compressed. One of the goals of the compression is to reduce bandwidth required in the transmission of data between the processor and the memory. The present invention also defines the criteria by which a level of compression is selected to achieve maximum optimization.

Uncompressed

The first level of compression is the uncompressed level. The table below shows the memory setup in the uncompressed state for example tile 300 of FIG. 3. TABLE 1 Pixel A Pixel B Pixel C Pixel D S0 - Org. S0 - Org. S0 - Org. Color C0 S0 - Org. Color D0 Color A0 Color B0 S1 - Org. S1 - Org. S1 - Org. Color C0 S1 - Rep. Color D1 Color A0 Color B0 S2 - Org. S2 - Org. S2 - Org. Color C0 S2 - Rep. Color D1 Color A0 Color B0 S3 - Org. S3 - Org. S3 - Rep. Color C1 S3 - Rep. Color D1 Color A0 Color B0

Each slot in the table represents storing a memory word for the color value of a sample. As can be seen from Table 1, a total of four words per pixel are needed. In general, N words per pixel would be needed, where N is the number of samples. Each sample can be of an original color (denoted as Org. Color A0, Org. Color B0, Org. Color C0 or Org. Color D0) or of a replacement color (denoted as Rep. Color C1, Rep. Color D1, etc.). In this example, only two replacement colors are needed. At this level, no compression takes place and the color of each sample is stored as is.

Partially Compressed

The second level of compression is the partially compressed level. At this level of compression, only two words per pixel are required. Additionally, a pointer is used to encoding the compression. The pointer is encoded as follows: TABLE 2 Pixel A Pixel B Pixel C Pixel D 0000 0000 0001 0111 4 bits 4 bits 4 bits 4 bits

The bits of the pointer are also shown in FIG. 4. Notice that 16 bits are needed to encode the 16 samples within the four pixels. In general, one bit is required for each sample. Therefore if more samples are used in each pixel, more bits are required. Each bit is either a “0”, which means that the original color for that pixel is used, or a “1”, which means that the replacement color for that pixel is used. For example, in pixel A, all four samples (S0, S1, S2, and S3) are of the original color for pixel A. Hence all four bits are encoded “0”. In pixel C, samples S0, S1, and S2 are of the original color for pixel C. Thus the first three bits are encoded “0”. The last bit is encoded “1” to indicate that sample S3 of pixel C is using the replacement color (since it is covered by triangle 302). The same logic applies for pixels B and D. Hence using this pointer, only two words per pixel need to be stored, with one word for the original color and another for the replacement color, as shown in compressed format of Table 3. TABLE 3 Pixel A Pixel B Pixel C Pixel D Org. Color A0 Org. Color B0 Org. Color C0 Org. Color D0 Rep. Color A1 Rep. Color B1 Rep. Color C1 Rep. Color D1

Each sample will have a bit value pointing to either the original color or the replacement color for that pixel. In this scheme, the 2×2 tile can be encoded in eight words using this 16-bit pointer. In one embodiment, the pointers are stored in an unused color entry freed by the compression scheme.

In one embodiment, further compaction can be achieved in the pointer format. This compaction takes advantage of that fact that the edge separating the two triangles can, at most, cut through 3 pixels. Thus, there will always be a pixel where no color replacement is necessary. Instead of using 4 bits of “0” all the time to encode this pixel with no color replacement, the following short-hand bit encoding is used to further compact the pointer word encoding to 14 bits. TABLE 4 2 bits - A - 00 4 bits - B 4 bits - C 4 bits - D 2 bits - B - 01 4 bits - A 4 bits - C 4 bits - D 2 bits - C - 10 4 bits - A 4 bits - B 4 bits - D 2 bits - D - 11 4 bits - A 4 bits - B 4 bits - C

In the table, each row represents a possible scenario of compaction. The first two bits are used to encode the four possible ordering of the overall encoding. For example, when “00” is used, the pixel without color replacement is assumed to be pixel A. Then the 12 bits for pixels B, C, and D follow as above in Table 2. Using this short-hand bit encoding, the pointer shown in FIG. 4 would be compacted as the following 14 bits: 00-0000-0001-0111.

The hyphens are added for clarity only to show the bits for pixels B, C, and D. In other cases, if “11” is used, then pixel D is assumed to be the pixel without color replacement (i.e. it has no edges cutting through it), then the 12 bits following would encode the samples for pixels A, B, and C. Compacting the pointers allow more pointers to be stored in the single unused color entry. In general, the compaction replaces all the bits in the pixel that does not have a replacement color with a short-hand encoding. The number of bits of the encoding needed is log₂ T, where T is the number of pixels in the tile. As long as log₂ T<S, where S is the number of samples per pixel, compaction is possible. In cases where S is large, the compaction can allow longer pointers to be compressed and stored in a single unused color entry, which may be 24 or 32 bit long.

Fully Compressed

At this level of compression, only one word per pixel is needed. This level of compression is possible when one triangle covers the entire 2×2 tile, as shown in FIG. 5. Tile 500 is covered by entirely by triangle 502. When this situation arises, all samples with each pixel are of the same color. Thus the tile can be encoded as follows. TABLE 5 Pixel A Pixel B Pixel C Pixel D Color_A0 Color_B0 Color_C0 Color_D0

Hence only one word per pixel is needed. Notice that adjacent tile 501 would not be compressed at the fully compressed level. Since triangle 502 cuts through the tile 501, tile 501 would be appropriately compressed at the partially compressed level.

The configuration shown in FIGS. 3-5 and the corresponding tables cover a frequently observed pattern in tile memory, namely a tile covered by two triangles. Yet it must be noted that these representations in FIGS. 3-5 and the tables above are intended to serve as examples only. In general, the compression schemes described can be applied to tiles of various sizes, tiles with various numbers of samples and colors, and tiles with a plurality of triangle primitives placed in various orientations.

FIG. 6A is a flow chart that shows the operation of compression in one embodiment of the present invention. In step 601, a tile is selected to be evaluated as to which compression is suitable. In step 602, it is determined whether it is fully covered by a single triangle and hence suitable for full compression. If so, the tile is fully compressed in step 603. If not, in step 604 it is determined whether it can be compressed at the partially compressed level. If so, in step 605, the tile is partially compressed. If not, in step 606 the tile emerges from the process uncompressed and is stored as such.

In one embodiment, the check for full compression evaluates the tile to see if it is wholly covered by a triangle, as in the example tile 500 shown in FIG. 5. In another embodiment, the check for partial compression in step 604 is configured to select a tile for compression when no more than two triangles cover it. If more than two triangles cover a tile as shown in the example tile of FIG. 7, such a tile is not selected for partial compression. In the example shown in FIG. 7, tile 700 is covered by parts of four triangles as indicated by the thick lines intersecting in pixel B.

FIG. 6B shows the process of partial compression. Once a tile is designated for partial compression, the system assigns an order to the triangle primitives covering the tile in step 651. This enables the next step 652, which is determining the color type of each sample of said tile. The sample is evaluated as to which triangle primitive it belongs and either an original color designation or a replacement color designation is given. In step 653, a compressed format of color entries is created out of the original data, in accordance to the setup described in the Table 3. In step 654, based on the result obtained in steps 652 and 653, a pointer is created to the compressed format. In one embodiment, the pointer is of the general format shown in FIG. 4. In another embodiment, further compaction depicted in Table 5 is applied to the pointer.

In the present invention, tiles are checked for compression suitability and are sometimes left uncompressed. In general, the configuration of determining whether a tile qualifies for partial compression should take into account whether partial compression will actually result in space saving. In the example shown in FIG. 7, because of the large number of triangles covering the tile, the number of colors that need to be stored may exceed the number of samples. Furthermore, more than one bit per sample will be required in the pointer encoding, resulting in long pointers. Hence, the partial compression format may end up taking more space than the uncompressed format. Care should be taken to select criteria by which a tile is evaluated to be suited for partial compression. The criteria should be configured to deliver good compression results.

Evaluation of tile compression suitability prior to compression can yield better compression results. Also the size of the tile can affect compression result and overall system performance. It can be observed that as the tile size becomes smaller, more tiles would qualify for full compression and partial compression in the present invention. While this reduction in memory requirement is clearly desirable, the tile size decision must be balanced against the additional performance cost of compressing and processing more tiles and memory cost of storing more pointers and other compression information. In one embodiment, the tile size of 2×2 is chosen as a good balance for these two opposing factors.

Processing Optimization

In one embodiment, the processor comprises of a Tile Format Table (TFT) to keep track of the format of the tile data in the cache. A Tile Format Table (TFT) is used to record the compression format of each tile after processing. FIG. 8A shows the relationship between main memory 801, the cache 802, and the graphics processor 803. Tiles are transferred from main memory 801 to cache 802 as needed. Tiles undergo compression according to the earlier described scheme and are then stored in cache 802. Then the tiles, in their compressed form, are transferred to graphics processor 803 as needed for processing. It is noted that the tiles need not be decompressed at graphics processor 803, because graphics processor 803 has a TFT 804 to keep track of the compression format of the incoming tiles. Graphics processor 803 can operate on the tile in its compressed format and thus speed up overall operation.

In one embodiment of the TFT, there is an entry for every tile. Each entry has a two-bit compression encoding to indicate the data format of the particular tile. In one embodiment, the two bits encode the following four states:

1. clear

2. fully compressed

3. partially compressed

4. uncompressed

The two-bit compression encoding in the TFT alerts the processor as to the format of tile data coming from the cache. The first state indicates a state in which the cache is set to a “clear value” that corresponds to a default empty data state. This state is used for a “Fast Clear” feature as shown in FIG. 9. To clear the cache of any data, in step 901, the processor sets the two-bit encoding to the clear state in the TFT. In step 902, the processor writes in each entry in the cache a default “clear” color value that is pre-stored on a memory register on the processor (shown as component 805 of FIG. 8A). The second, third, and four states of the TFT entry describe the afore-mentioned three levels of compression for the tile: fully compressed, partially compressed, and uncompressed. With the two-bit encoding, the processor can appropriately process the tile data received from the cache.

In the embodiment depicted in FIG. 8A, the tile size in main memory 801 and cache 802 are the same. The pixels are stored as 2×2 tiles. FIG. 8B depicts another embodiment where the tile size in main memory 811 differs from that of cache 812. In this embodiment, 4×4 tiles are stored in main memory 811 and 2×2 tiles are stored in cache 812. To accommodate this difference, graphics processor 813 comprises of two TFTs, a primary TFT 814 and a secondary TFT 815. In one embodiment, the primary TFT 814 is used to keep track of the compression format of the tiles in main memory 811 and the secondary TFT 815 is used to keep track of the compression format of the tiles in cache 812. In general, the setup of FIG. 8A can be used when the tile size in the main memory is the same as the cache, regardless of the tile size. The setup of FIG. 8B can be used when the tile size in the main memory differs from that of the cache.

Cache Representation

As shown in FIG. 8B, instead of storing 2×2 tiles in memory, one embodiment of the present invention stores 4×4 tiles in memory. The 4×4 tiles in memory are put into cache and broken down into 2×2 tiles for storage. The 2×2 tiles are compressed according to one of the compression schemes. As supposed to a tile format such as 1×4, the 2×2 tile format is found to be the configuration generates good color correlation within each tile. Once in the cache, the tiles are transmitted to the graphics processor in the compressed formats, saving bandwidth. Having a separate TFT 815 for the tiles in the cache allows processing to be performed at a level of granularity that is different from that of memory. One result is that the tile size in main memory is not pegged to the tile size in cache, which is usually chosen for optimized processing and compression purposes. Thus, tiles in the main memory can be bigger and hence requiring fewer entries in the primary TFT 814. The reduction in size of the primary TFT frees up valuable on-processor memory space. Since cache is usually much smaller than memory, few entries are required for the addition of the secondary TFT. Overall memory saving on the processor is thus achieved.

The flow chart of FIG. 10 shows the processing of tiles. In step 1001, tiles are retrieved from main memory (e.g. main memory 814). In one embodiment, an occlusion check is performed so that tiles that are occluded by other geometric shapes are not read into cache. In one embodiment, tiles are of size 4×4. The tile size can be different depending on memory configuration. Then in step 1002, the tiles from memory are either resized or broken down into smaller tiles. In one embodiment, each 4×4 tile is separated into four 2×2 tiles. Regardless of tile size, the goal is to create tiles at a level of granularity suitable for compression and processing. In another embodiment, no resizing may be necessary. In step 1003, the tiles are compressed according to the above described compression techniques and the TFT associated with the cache may have its entries updated to reflect the new tiles. In one embodiment, the compression method outlined in FIG. 6 is used. Note that some tiles may not be compressed due do constraints and/or other memory or processing advantages. In step 1004, the compressed tiles from cache are sent to the graphics processor for processing as needed. In step 1005, after the graphics processor operates on the tiles, they are returned to the cache. Finally in step 1006, the tiles in the cache are reassembled or resized into the tiles with size suitable for memory storage and the resized tiles are returned to the memory. In one embodiment, four 2×2 tiles are reassembled into one 4×4 tile and returned to main memory, as shown in FIG. 8B. Of the four tiles, the tile compressed at the lowest compression level becomes the default compression level for the overall resultant tile. For example, if three of the tiles are fully compressed and one tile is partially compressed, then all four of tiles are stored as partially compressed and assembled into one 4×4 partially compressed tile. The TFT table for the main memory (e.g. TFT 814) may be updated to reflect the return of the tiles.

Storing the tiles in compressed formats enables the optimization of the processing of the tiles in the graphics processor. For example, suppose an incoming tile is fully compressed, i.e. all samples within a pixel have the same color value. The processor can rely on the TFT to know that this tile is fully compressed. If the processor needs to draw some new shapes on top on this tile, it only has to blend against one color per pixel instead of blending the new shapes against four samples per pixel. Thus the operation can be accomplished in one cycle instead of four. Similarly, in processing partially compressed tiles, since the processor knows that each sample is of one of two colors, the operation can be accomplished in two cycles instead of four. Since such cases frequently occur in multi-sampled anti-aliasing applications, the present invention thus offers an improvement in processing efficiency.

In one embodiment, if a new shape comes in and a configuration similar to FIG. 7 results, then the tile is decompressed back to the uncompressed level at the graphics processor.

Resolve Optimization

One of the common operations performed by graphics processors is the resolve operation. In a resolve operation, samples are combined together with gamma correction. Data is pulled out from cache and then written back into memory with the result that only pixels remain with no more samples are associated with each pixel.

The type of resolve operation that needs to be performed depends on the level of compression of the tiles. First, if the tiles are fully compressed, i.e. there is already only one color per pixel, nothing needs to be done and each pixel in the tile is simply written back into memory. Second, if the tiles are partially compressed or uncompressed, i.e. there are different color samples within each pixel, then the samples are combined to resolve to the final pixel color. In one embodiment, samples with the same colors are only processed once. For example, in FIG. 3, pixel C has three samples (S0, S1, S2) of one color and one sample (S3) of another color. The resolve operation will multiply the color value S0 by three and combine it with one time the color value of S3. Then the combined value is divided by four to obtain the final pixel color value. This saves the processor from having to read the same color value multiple times.

In one embodiment, during the combination some number of least significant bits from each contributing color sample may not be used. The ceiling of the log₂x, where x is the number of colors being combined, is equal to the number of least significant bits that can be skipped in the combination process.

As more colors are combined to yield the pixel color, more least significant bits are lost. However, the loss of least significant bits does not reduce the color quality of the pixel. If thought of in terms of signal processing, the entire pixel, or signal, is being reproduced by multiple samples. Thus, each individual sample can be of lower precision without affecting the combined signal quality. For example, if two colors are averaged, the least significant bit of either color is lost during the divide operation without loss of color quality. Likewise, if eight colors are averaged, the least significant three bits are lost during the divide operation without loss of color quality. The number of least significant bits lost in the combination process is equal to the number of bits used to index the table of colors. Hence, it is possible to store the colors without some least significant bits, further freeing up memory space.

Embodiment of Computer Execution Environment (Hardware)

An embodiment of the invention can be implemented as computer software in the form of computer readable program code executed in a general purpose computing environment such as environment 1100 illustrated in FIG. 11. A keyboard 1110 and mouse 1111 are coupled to a system bus 1118. The keyboard and mouse are for introducing user input to the computer system and communicating that user input to central processing unit (CPU) 1113. Other suitable input devices may be used in addition to, or in place of, the mouse 1111 and keyboard 1110. I/O (input/output) unit 1119 coupled to bi-directional system bus 1118 represents such I/O elements as a printer, A/V (audio/video) I/O, etc.

Computer 1101 may include a communication interface 1120 coupled to bus 1118. Communication interface 1120 provides a two-way data communication coupling via a network link 1121 to a local network 1122. For example, if communication interface 1120 is an integrated services digital network (ISDN) card or a modem, communication interface 1120 provides a data communication connection to the corresponding type of telephone line, which comprises part of network link 1121. If communication interface 1120 is a local area network (LAN) card, communication interface 1120 provides a data communication connection via network link 1121 to a compatible LAN. Wireless links are also possible. In any such implementation, communication interface 1120 sends and receives electrical, electromagnetic or optical signals which carry digital data streams representing various types of information.

Network link 1121 typically provides data communication through one or more networks to other data devices. For example, network link 1121 may provide a connection through local network 1122 to local server computer 1123 or to data equipment operated by ISP 1124. ISP 1124 in turn provides data communication services through the world wide packet data communication network now commonly referred to as the “Internet” 1125. Local network 1122 and Internet 1125 both use electrical, electromagnetic or optical signals which carry digital data streams. The signals through the various networks and the signals on network link 1121 and through communication interface 1120, which carry the digital data to and from computer 1100, are exemplary forms of carrier waves transporting the information.

Processor 1113 may reside wholly on client computer 1101 or wholly on server 1126 or processor 1113 may have its computational power distributed between computer 1101 and server 1126. Server 1126 symbolically is represented in FIG. 11 as one unit, but server 1126 can also be distributed between multiple “tiers”. In one embodiment, server 1126 comprises a middle and back tier where application logic executes in the middle tier and persistent data is obtained in the back tier. In the case where processor 1113 resides wholly on server 1126, the results of the computations performed by processor 1113 are transmitted to computer 1101 via Internet 1125, Internet Service Provider (ISP) 1124, local network 1122 and communication interface 1120. In this way, computer 1101 is able to display the results of the computation to a user in the form of output.

Computer 1101 includes a video memory 1114, main memory 1115 and mass storage 1112, all coupled to bi-directional system bus 1118 along with keyboard 1110, mouse 1111 and processor 1113. As with processor 1113, in various computing environments, main memory 1115 and mass storage 1112, can reside wholly on server 1126 or computer 1101, or they may be distributed between the two. Examples of systems where processor 1113, main memory 1115, and mass storage 1112 are distributed between computer 1101 and server 1126 include the thin-client computing architecture, the palm pilot computing device and other personal digital assistants, Internet ready cellular phones and other Internet computing devices.

The mass storage 1112 may include both fixed and removable media, such as magnetic, optical or magnetic optical storage systems or any other available mass storage technology. Bus 1118 may contain, for example, thirty-two address lines for addressing video memory 1114 or main memory 1115. The system bus 1118 also includes, for example, a 32-bit data bus for transferring data between and among the components, such as processor 1113, main memory 1115, video memory 1114 and mass storage 1112. Alternatively, multiplex data/address lines may be used instead of separate data and address lines.

In one embodiment of the invention, the processor 1113 is any suitable microprocessor or microcomputer that may be utilized. Main memory 1115 is comprised of any memory type suitable for video applications. Video memory 1114 is a dual-ported video random access memory. One port of the video memory 1114 is coupled to video amplifier 1116. The video amplifier 1116 is used to drive monitor 1117. Video amplifier 1116 is well known in the art and may be implemented by any suitable apparatus. This circuitry converts pixel data stored in video memory 1114 to a raster signal suitable for use by monitor 1117. Monitor 1117 is a type of monitor suitable for displaying graphic images.

Computer 1101 can send messages and receive data, including program code, through the network(s), network link 1121, and communication interface 1120. In the Internet example, remote server computer 1126 might transmit a requested code for an application program through Internet 1125, ISP 1124, local network 1122 and communication interface 1120. The received code may be executed by processor 1113 as it is received, and/or stored in mass storage 1112, or other non-volatile storage for later execution. In this manner, computer 1100 may obtain application code in the form of a carrier wave. Alternatively, remote server computer 1126 may execute applications using processor 1113, and utilize mass storage 1112, and/or video memory 1115. The results of the execution at server 1126 are then transmitted through Internet 1125, ISP 1124, local network 1122 and communication interface 1120. In this example, computer 1101 performs only input and output functions.

Application code may be embodied in any form of computer program product. A computer program product comprises a medium configured to store or transport computer readable code, or in which computer readable code may be embedded. Some examples of computer program products are DVD-ROM, CD-ROM disks, ROM cards, floppy disks, magnetic tapes, computer hard drives, servers on a network, and carrier waves.

In another embodiment, as shown in FIG. 12, the present invention provides a method and apparatus for data compression that includes, at block 1190, representing each sub-pixel (e.g., sample of pixel) of each pixel with a pointer corresponding to an attribute of the sub-pixel, the attribute being a floating point binary number. Data compression is shown in block 1191. An overall attribute of each pixel is then determined at block 1195. The compression of data may include assigning the attribute of the sub-pixels to the overall attribute of the pixel when the sub-pixels of each pixel are represented by an identical pointer as shown by blocks 1192 and 1193. As shown, if the sub pixels are represented by an identical pointer, the compression level is set to “fully compressed” and no pointers are used. The compression of data may also include assigning pointer prior to resolving the overall attribute of the pixel by the attributes of the sub-pixels when some of sub-pixels of some pixels are represented by non-identical pointers of the pixel as shown by blocks 1194 and 1196. The attribute may be any display characteristic of the pixel. For example, the attribute could be the color of the pixel when displayed on a display. Accordingly, to describe the present embodiment, the floating point binary number for the attribute of a pixel may be generally referred to herein as floating point color value for the pixel.

As shown, the determining of the overall attribute of each pixel in block 1195 may include as shown in block 1197, converting the floating point binary color values of the sub-pixels to fixed point binary values. As shown in block 1198, the method includes combining the binary fixed point values to arrive at a fixed point binary color value for the pixel. As shown in block 1199, the method includes converting the fixed point binary color value of the pixel to a floating point binary color value.

In the present embodiment, pointer and color values are stored in memory 801 (see FIG. 8A) and color values are represented by floating point binary numbers rather than fixed point binary numbers. Floating point binary numbers may have word lengths of 2^(n) bits, where n>=3. Color values stored in memory 801 can be represented by any one of 16-bit, 32-bit, 64-bit, or any other size or larger floating point binary numbers. For illustrative purposes, however, 16-bit floating point binary numbers are described in detail herein.

Referring to FIGS. 13 and 14, a 16-bit floating point number format is illustrated, where the first bit represents a sign bit, the next five bits represent the exponent bits, and the remaining ten bits represent fractional portion of the mantissa bit with a hidden bit. The hidden bit is the initial bit of the mantissa or the non-fractional portion, and because it is always 1, it is not typically used in the floating point binary representation. The largest floating point binary number that can be represented by the 16-bit standard is shown in FIG. 13 as 0111111111111111, which is equivalent to 1.1111111111*2¹⁵, or 6.550400e+004 in scientific notation. Similarly, the smallest floating point number that can be represented as shown in FIG. 14 is 1111111111111111, which is equivalent to −1.1111111111*2¹⁵, or −6.550400e+004 in scientific notation. Accordingly, one of ordinary skill in the art will readily appreciate that by representing color information with floating point binary numbers, a larger range of colors can be represented as compared to colors being represented with fixed point binary numbers having the same binary word length. Therefore, the same number of bits that can be allocated in memory for storing color information in fixed point binary format can be used to represent a larger range of colors by representing the colors in floating point binary format. The larger color range provides for more precise representation of colors rendered on the display. Additionally, representing a larger range of colors with the floating point binary numbers does not affect data transfer rates between a processor and memory.

A tile may define a plurality of pixels. For example, a tile may define a 4×4 array of pixels or a 2×2 array of pixels. Also, a pixel in a tile may include sub-pixels or samples.

FIG. 15 illustrates an apparatus 1200 that performs the data compression method disclosed herein. The apparatus 1200 includes memory 1202 that can store tile information. The tile information may represent each sub-pixel of a tile with a pointer corresponding to the attribute of the sub-pixel. As described in the foregoing, the sub-pixel attributes can be a floating point binary color value. The apparatus 1200 may also include a processor 1204 that serves as compression logic 1502 that can retrieve floating point color values and corresponding pointer information 1504 from the memory 1202 or cache 1500 and stores the floating point color values and corresponding pointer information in the memory 1202 or cache 1500. The compression logic 1502 utilizes the tile format table to determine the level of compression as described above. The apparatus 1200 may be any device that displays, uses, stores and/or processes color information. For example, the apparatus 1200 may be a computing device, a camera, a printer, a wireless communication device, or the like. As described in the foregoing, the processor 1200 may include logic that is operative to determine an overall tile attribute by any one of assigning the attribute of the sub-pixels to the overall attribute of the tile when the sub-pixels are represented by an identical pointer, and resolving the overall attribute of the tile by the attributes of the sub-pixels when the sub-pixels are represented by non-identical pointers of the tile. The logic may be the processor executing software instructions that when executed cause the processor to carry out the operation described herein. However any suitable structure may be used.

The processor 1204 receives compressed tile information, such as pointers and corresponding floating point sub-pixel color values 1504, from memory 1202. The processor 1204 decompresses the information by methods described earlier in relation to TFT 814 and TFT 815. During decompression, the processor reads the TFT and determines which color values and pointers to retrieve from the memory 1202. The processor 1204 then requests from memory at block 1304 floating point binary color values and corresponding pointers. Processing optimization is carried out as described above with reference to FIGS. 8A, 8B and 9.

When the processor 1204 resolves a pixel color based on the individual colors of the pixels or sub-pixels, it typically performs arithmetic operations on the color values of each pixel or sub-pixel to combine these color values. For example, if a pixel is represented by four sub-pixels and each sub-pixel has a different color, the processor 1204 can average the colors of the four sub-pixels by adding the four color values of the sub-pixels and dividing the result by four to arrive at an overall pixel color. However, the result of arithmetic operations with floating point binary numbers depends on the order of the numbers used in the operation, i.e., arithmetic operations with floating point binary numbers are order sensitive. The present invention provides a method for performing arithmetic operations with floating point binary color values that is not order dependent.

The processor 1204 converts the floating point binary color values identified by the pointers to fixed point binary color values. The processor resolves the pixel colors by combining the fixed point binary values. The combining may include averaging the colors of the pixels or sub-pixels in each pixel or tile or any other suitable method. The combining is computed utilizing fixed point values so that the computation is invariant to computation order or computation technique. For example, pixels with 4 samples of which one attribute is unique and the other three attributes are equal can be computed either by adding the four attribute values or, as a computational optimization, by adding the single unique attribute value to three times the common attribute. This assures that the result from compressed data is the same as what is achieved if no compression was utilized.

The resolving provides a single color for each pixel that is represented in fixed point binary format. The processor 1204 subsequently converts the overall tile color from fixed point binary to floating point binary format. The overall pixel color may then be stored by the processor 1204 in the memory 1202 to be later accessed by the processor 1204 to be displayed on the display 1214.

As described above, a method is described that uses floating point color values for sub-pixels instead of fixed point values. As such a method of data compression includes storing floating point sub-pixels color values for a plurality of pixels; and selecting from one of at least the following compression levels as described above. A clear state utilizes a single floating point color value, such as for an entire frame; an uncompressed state utilizes a floating point color value stored for each sub-pixel of each pixel in a tile; a partial compression state utilize a pointer for each subpixel in a tile that selects a floating point color value for each subpixel; and a full compression state utilizes a single floating point color value for each pixel, to compress the plurality of sub-pixel values.

The memory 1202 and the processor 1204 are shown in FIG. 15 to be components of a single apparatus 1200. However, each of the memory 1202, cache, display and the processor 1204 may be part of independent devices that can communicate with each other through wired or wireless connections. Also, portions of the compression logic may also be distributed among devices if desired. For example, the device or devices may be a camera that can capture, store and display images, a printer that can process and print the images captured with another device. In another example, the device may be a wireless communication device that can capture and store images, The present data compression method provides for higher data transfer rates between devices as compared to transfer rates when the pixel information is not in compressed format. From the foregoing, one of ordinary skill in the art will appreciate that the data compression methods disclosed herein are applicable for communication between devices that can capture, store, process, display and/or print images.

The computer systems described above are for purposes of example only. An embodiment of the invention may be implemented in any type of computer system or programming or processing environment. Thus, a method and apparatus for compression of multi-sampled anti-aliasing color data is described in conjunction with one or more specific embodiments. Thus, the invention is not limited to particular details of the apparatus and method depicted and the modifications and applications may be contemplated. Certain other changes may be made in the above-described method and apparatus without departing from the true spirit of the scope of the invention herein involved. It is intended, therefore, that the subject matter in the above depiction should be interpreted as illustrative and not in a limiting sense. 

1. A method of data compression comprising: representing each sub-pixel of each pixel of a display with a pointer corresponding to an attribute of the sub-pixel, the attribute being a floating point binary number; and determining an overall attribute of each pixel by any one of: assigning the attribute of the sub-pixels of the pixel to the attribute of the pixel when the sub-pixels of the pixel are represented by an identical pointer; and resolving the attribute of the pixel by the attributes of the sub-pixels of the pixel when the sub-pixels of the pixel are represented by non-identical pointers.
 2. The method of claim 1, wherein each attribute represents color information and further comprising storing the overall attributes of each pixel as pointer information in memory.
 3. The method of claim 1, wherein the pointer represents at least two different floating point binary colors.
 4. The method of claim 1, wherein the resolving comprises: converting the attribute corresponding to each non-identical pointer to a binary fixed point attribute; combining the binary fixed point attributes to determine a combined fixed point attribute; converting the combined fixed point attribute to a combined binary floating point attribute; and representing the overall attribute of the pixel by the combined binary floating point attribute.
 5. The method of claim 4, wherein the combining comprises averaging the binary fixed point attributes based on the number of non-identical pointers of the pixel.
 6. An apparatus comprising: a logic operative to: represent each sub-pixel of each pixel of a plurality of pixels of a display with a pointer corresponding to an attribute of the sub-pixel, the attribute being a floating point binary number; and determine an overall attribute of each pixel by any one of: assigning the attribute of the sub-pixels to the overall attribute of the pixel when the sub-pixels are represented by an identical pointer; and resolving the overall attribute of the pixel by the attributes of the sub-pixels when the sub-pixels are represented by non-identical pointers of the pixel.
 7. The apparatus of claim 6, wherein each attribute represents color information and further comprising the logic operative to store the overall attributes of each pixel as pointer information in memory.
 8. The apparatus of claim 6, wherein the pointer represents at least two different floating point binary colors.
 9. The apparatus of claim 6, wherein the resolving comprises the logic operative to: convert the attribute corresponding to each non-identical pointer to a binary fixed point attribute; combine the binary fixed point attributes to determine a combined fixed point attribute; convert the combined fixed point attribute to a combined binary floating point attribute; and represent the overall attribute of the pixel by the combined binary floating point attribute.
 10. The apparatus of claim 9, wherein to combine comprises averaging the binary fixed point attributes based on the number of non-identical pointers of the pixel.
 11. An apparatus comprising logic operative to represent each sub-pixel of each pixel of a display with a pointer corresponding to an attribute of the sub-pixel, the attribute being a floating point binary number.
 12. The apparatus of claim 11, wherein each attribute represents color information and further comprising storing the overall attributes of each pixel as pointer information in memory.
 13. The apparatus of claim 11, wherein the pointer represents at least two different floating point binary colors.
 14. An apparatus comprising logic operative to: receive pointers corresponding to sub-pixels of each pixels of a display, each pointer representing an attribute of the corresponding sub-pixel; assign the attribute of the sub-pixels to an overall attribute of the pixel when the sub-pixels are represented by an identical pointer; resolve the overall attribute of the pixel by the attributes of the sub-pixels when the sub-pixels are represented by non-identical pointers of the pixel.
 15. The apparatus of claim 14, wherein to resolve the overall attribute of the pixel comprises: converting the attribute corresponding to each non-identical pointer to a binary fixed point attribute; combining the binary fixed point attributes to determine a combined fixed point attribute; converting the combined fixed point attribute to a combined binary floating point attribute; and representing the overall attribute of the pixel by the combined binary floating point attribute.
 16. The apparatus of claim 15, wherein the combining comprises averaging the binary fixed point attributes based on the number of non-identical pointers of the pixel.
 17. A method of data compression comprising: storing sub-pixels values for a plurality of pixels; and selecting from one of at least the following compression levels: a clear state that utilizes a single floating point color value per tile; an uncompressed state that utilizes a floating point color value stored for each sub-pixel of each pixel in a tile; a partial compression state that utilize a pointer for each subpixel in a tile that selects a floating point color value for each subpixel; and full compression that utilizes a single floating point color value for each pixel, to compress the plurality of sub-pixel values.
 18. A method for anti-aliasing comprising: storing floating point sub-pixels color values for a plurality of pixels; and using at least some of the stored floating point sub-pixel color values to determine an anti-aliased color value for a pixel. 